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Finding the Fourth Proportional to 242,492.14, 334,648.17 and 133,600.90

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Solution

The fourth proportional to 242,492.14, 334,648.17 and 133,600.90 is: 184,374.21

Step by Step Solution

  1. Step 1: Write the proportion equation
    242,492.14 : 334,648.17 = 133,600.90 : x
  2. Step 2: Convert to fraction form
    242,492.14/334,648.17 = 133,600.90/x
  3. Step 3: Cross multiply
    242,492.14x = 334,648.17 × 133,600.90
  4. Step 4: Simplify right side
    242,492.14x = 44,709,296,695.35
  5. Step 5: Solve for x
    x = 44,709,296,695.35/242,492.14
  6. Step 6: Final answer
    x = 184,374.21

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.